The magnetic inertial dynamics have been investigated for one sublattice ferromagnets. Here, we develop the magnetization in two-sublattice ferromagnets including intra- and inter-sublattice dynamics. First, derive susceptibility of such a ferromagnet. Next, by finding poles susceptibility, calculate precession nutation resonance frequencies. Our results suggest that while frequencies show decr...

In this paper, we study deformations of complex structures on Lie algebras and its associated Dolbeault cohomology classes. A complete deformation is constructed in a way similar to the Kuranishi family. The extension isomorphism shown be valid case. As an application, prove that given family left invariant $\{M_t\}_{t\in B}$ compact manifold $M=(\Gamma\setminus G, J)$ where $G$ group, $\Gamma$...

We study functional clones, which are sets of non-negative pseudo-Boolean functions closed under (essentially) multiplication, summation and limits. Functional clones naturally form a lattice under set inclusion and are closely related to counting Constraint Satisfaction Problems (CSPs). We identify a sublattice of interesting functional clones and investigate the relationships and properties o...

Let Λ be a lattice in an n-dimensional Euclidean space E and let Λ′ be a Minkowskian sublattice of Λ, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of Λ. We extend the classification of possible Z/dZ-codes of the quotients Λ/Λ′ to dimension 9, where dZ is the annihilator of Λ/Λ′.

We prove that the lattice EqΩ of all equivalence relations on an infinite set Ω contains, as a 0, 1-sublattice, the 0-coproduct of two copies of itself, thus answering a question by G.M. Bergman. Hence, by using methods initiated by de Bruijn and further developed by Bergman, we obtain that EqΩ also contains, as a sublattice, the coproduct of 2 Ω copies of itself.

We present a solution for the stationary state of an asymmetric exclusion model with sequential update and open boundary conditions. We solve the model exactly for random hopping in both directions by applying a matrix-product formalism which was recently used to solve the model with sublattice-parallel update [1]. It is shown that the matrix-algebra describing the sequential update and sublatt...

Bipartite quantum systems from the chiral universality classes admit topologically protected zero modes at point defects. However, in two-dimensional systems these states can be difficult to separate from compacton-like localized states that arise from flat bands, formed if the two sublattices support a different number of sites within a unit cell. Here we identify a natural reduction of chiral...

Palladium has a face-centered-cubic sublattice. Hydrogen atoms partially fill the octahedral holes to form PdH,. The fraction of interstitial sites occupied is dependent on the plating conditions, temperature and the partial pressure of hydrogen, etc. Although hydrogen atoms only occupy the interstitial’ sites, the sublattice of metal atoms in the PdH, is larger and simply an expansion of the p...

Spin nutation resonance has been well-explored in one-sublattice ferromagnets. Here, we investigate the spin two-sublattice antiferromagnets as well as, for comparison, ferrimagnets with inter-and intra-sublattice coupling. In particular, derive susceptibility of magnetic system response to an applied external field. To this end, antiferromagnetic and ferrimagnetic (sub-THz) precession THz freq...